Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis.

Question

y	=	6(2 − x)
y	=	0
x	=	0

Answer 1

If y = 0 then x = 2.

By Shell Method volume V = 2π∫₀²x·6(2 - x)dx = 12π(x² - x³/3)₀² = 12π(4 - 8/3) = 16π